Equivalent Expressions, Factoring, Distributive Property

Which of the following is equivalent to 5(2x + 6)?

• 10x + 30

• 10x + 6

• 40x

• 2x + 30

Which expression is equivalent to 6(x + 12)?

• 6x + 12

• 6x + 72

• 6x - 72

• 6x - 12

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.

Which expression is equivalent to 2(y + 7)?

• 2y - 14

• 2y - 7

• 2y + 14

• 2y + 7

Which of the following is equivalent to 5(2x + 6)?

• 10x + 30

• 10x + 6

• 40x

• 2x + 30

Simplify the expression:

8(5 + w)

• 40 + w

• 40+8w

• 85 + 8w

• 13+8w

Solve using distributive property.

2(x+3)

• 2x-6

• 2x+3

• 2x+6

• 2x-3

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x

Which expression is equivalent to 7(n + 4)?

• 7n - 28

• 7n - 4

• 7n + 4

• 7n + 28

Answer explanation

To simplify the expression, distribute the 2 to both terms inside the parentheses: 2(3x) + 2(4) + x = 6x + 8 + x = 7x + 8. Therefore, the correct choice is 7x + 8.